What is the derivative of (x^3-1)^{100} ?

The derivative of (x^3-1)^{100} is 300x^2(x^3-1)^{99}

What is the first derivative of (x^3-1)^{100} ?

The first derivative of (x^3-1)^{100} is 300x^2(x^3-1)^{99}

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derivative of

(x^{3} - 1)^{100}

300 x^{2} (x^{3} - 1)^{99}

Solution steps

\frac{d}{d x} ((x^{3} - 1)^{100})

Apply the chain rule:

100 (x^{3} - 1)^{99} \frac{d}{d x} (x^{3} - 1)

= 100 (x^{3} - 1)^{99} \frac{d}{d x} (x^{3} - 1)

\frac{d}{d x} (x^{3} - 1) = 3 x^{2}

= 100 (x^{3} - 1)^{99} \cdot 3 x^{2}

Simplify

= 300 x^{2} (x^{3} - 1)^{99}

\int y^{- \frac{2}{3}} d y

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ln (x e^{x} + 4)

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What is the derivative of (x^3-1)^{100} ?
The derivative of (x^3-1)^{100} is 300x^2(x^3-1)^{99}
What is the first derivative of (x^3-1)^{100} ?
The first derivative of (x^3-1)^{100} is 300x^2(x^3-1)^{99}